Answer:
The x coordinate is 0.047m while y coordinate is 0.081 m
Step-by-step explanation:
The coordinates of the center of the mass of the system are given as follows
[tex]x_c=\dfrac{\sum_{i=1}x_im_i}{\sum_{i=1}m_i}\\y_c=\dfrac{\sum_{i=1}y_im_i}{\sum_{i=1}m_i}[/tex]
So from the data
m1=0.310, x1=0.20,y1=0.320
m2=0.410,x2=0.110,y2=-0.380
m3=0.210,x3=-0.300,y3=0.630
Now by substitution of the values in the above equation
[tex]x_c=\dfrac{\sum_{i=1}x_im_i}{\sum_{i=1}m_i}\\x_c=\dfrac{x_1m_1+x_2m_2+x_3m_3}{m_1+m_2+m_3}\\x_c=\dfrac{0.310*0.2+0.410*.110+0.210*-0.3}{0.310+0.410+0.210}\\x_c=0.047m\\\\\\y_c=\dfrac{\sum_{i=1}y_im_i}{\sum_{i=1}m_i}\\y_c=\dfrac{y_1m_1+y_2m_2+y_3m_3}{m_1+m_2+m_3}\\y_c=\dfrac{0.310*0.320+0.410*-0.380+0.210*.630}{0.310+0.410+0.210}\\y_c=0.081m[/tex]
So the x coordinate is 0.047m while y coordinate is 0.081 m
